SOLUTION: the measure of one of the angles of a triangle is 35. The sum of the measures of the other two angles is 145 and the difference between their measures is 15. What are the measures

Question 564823: the measure of one of the angles of a triangle is 35. The sum of the measures of the other two angles is 145 and the difference between their measures is 15. What are the measures of the unknown angles?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
the measure of one of the angles of a triangle is 35.
The sum of the measures of the other two angles is 145 and the difference between their measures is 15.
What are the measures of the unknown angles?
:
Three angles, A, B, C
:
A = 35
B + C = 145
B - C = 15
------------adding eliminates c, find B
2B = 160
B = 160/2
B = 80 degrees
Find C
B + C = 145
80 + C = 145
C = 145 - 80
B = 65 degrees
;
:
Check this; 35 + 80 + 65 = 180; which is what every triangle should have
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